Least Common Multiple of 836/51, 286/35, 746/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 836/51, 286/35, 746/732 quickly i.e. 4053764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/51, 286/35, 746/732 is 4053764.

LCM(836/51, 286/35, 746/732) = 4053764

LCM of 836/51, 286/35, 746/732

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 836/51,286/35,746/732

Given numbers are 836/51,286/35,746/732

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 836,286,746

Least Common Multiple of Numerators i.e. LCM of 836,286,746 is 4053764.

GCF of Denominators means GCF of 51,35,732 as per the given fractions.

GCF of 51,35,732 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,286,746

LCM of Fractions 836/51,286/35,746/732 is 4053764

2 836, 286, 746
11 418, 143, 373
38, 13, 373

∴ So the LCM of the given numbers is 2 x 11 x 38 x 13 x 373 = 4053764

Least Common Multiple of 836,286,746 with GCF Formula

Least Common Multiple of 836,286,746 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 836,286,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,286,746) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(836,286,746) x common factors =2 x 22 = 44

LCM(836,286,746) = ( 836 × 286 × 746 ) / 44

LCM(836,286,746) = 178365616 / 44

LCM(836,286,746) = 4053764


Lets's calculate GCF of 51,35,732

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4053764/1

Therefore the LCM of Fractions 836/51,286/35,746/732 is 4053764

Greatest Common Factor of 51,35,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,35,732 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 51,35,732 . The biggest common factor number is the GCF number.
So the greatest common factor 51,35,732 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 836/51, 286/35, 746/732

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 836/51, 286/35, 746/732?

Answer: LCM of Numerators as per given numbers 836/51, 286/35, 746/732 is

LCM of Numerators i.e. for 836,286,746 is 4053764

GCF of denominators i.e. for 51,35,732 is 1.

Thus, LCM of Fractions is 4053764.Finally, LCM of Fractions for 836/51, 286/35, 746/732 is 4053764.